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Finding the Fourth Proportional to 312,996.24, 469,489.11 and 99,761.24

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Solution

The fourth proportional to 312,996.24, 469,489.11 and 99,761.24 is: 149,640.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,996.24 : 469,489.11 = 99,761.24 : x
  2. Step 2: Convert to fraction form
    312,996.24/469,489.11 = 99,761.24/x
  3. Step 3: Cross multiply
    312,996.24x = 469,489.11 × 99,761.24
  4. Step 4: Simplify right side
    312,996.24x = 46,836,813,432.65
  5. Step 5: Solve for x
    x = 46,836,813,432.65/312,996.24
  6. Step 6: Final answer
    x = 149,640.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.